Question

Paul has a tack stuck in his four-wheeler tire. If the tire has a diameter of 36 inches, how far does the tack travel in 62° of rotation?

A. 31π

B. 18π

C. 31 pi over 5

D. 31 pi over 90

Answer 1

@phi

Answer 2

@ParthKohli

Answer 3

if the wheel turns 360º it will go the length of its circumference
any idea what its circumference is ?

Answer 4

There is a formula to find the circumference of a circle.

Answer 5

I could do this problem but I am having trouble remembering how to find the length of an arc when you have its degree. And the circumference would be 2pi(r)squared

Answer 6

@amistre64

Answer 7

2 pi r^2 is the area of the circle

you want C= 2 pi r
(or (the same thing) C= pi d where d is the diameter)

the trick to figure out the arc is to know that 360º is the whole circumference.
If you turned only 180º you would go 180/360 or ½
if you turned 90º you would go 90/360 = ¼ of the circumference
or in general, if you turn n degrees you would go n/360 of the way

Answer 8

Right, ive got that. Here i have a crappy drawinghere. This is kind of what im getting at